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Fuzzy adaptive output feedback control for MIMO nonlinear systems. (English) Zbl 1082.93032
Summary: Two observer-based adaptive fuzzy output feedback control schemes are presented for a class of uncertain continuous-time multi-input–multi-output (MIMO) nonlinear dynamics systems whose states are not available. Within these schemes, fuzzy logic systems are employed to approximate the plant’s unknown nonlinear functions and then the state observer is designed for estimating the states of the plant, upon which a fuzzy adaptive output feedback controller is firstly investigated. In order to overcome the controller singularity problem and relax the requirement of bounding parameter values, a second modified fuzzy adaptive output feedback controller is proposed by using a regularized inverse and a robustifying control term. All parameter adaptive laws and robustifying control terms are derived based on Lyapunov stability analysis, so that convergence to zero of tracking errors and boundedness of all signals in the closed-loop system can be guaranteed. Simulations performed on a two-link robot manipulator illustrate the approach and exhibit its performance.

##### MSC:
 93C42 Fuzzy control/observation systems 93C40 Adaptive control/observation systems
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